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Since Turing, we have wanted to use computers to store, process, and check mathematics. However even with the assistance of modern software tools, the formalization of research-level mathematics remains a daunting task, not least because of the talent with which working mathematicians combine diverse theories to achieve their ends. By drawing on tools and techniques from type theory, language design, and software engineering we captured enough of these practices to formalize the proof of thedoi:10.1145/2491411.2505429 dblp:conf/sigsoft/Gonthier13 fatcat:m5bidz3uzbebxn6tnirio32sgy